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A tangent meets with the radius to form a right angle

Thus, we can use Pythagoras' theorem

b^2 = c^2 - a^2

Sub the values in:

b^2 = 5^2 - 3^2

b^2 = 16

Square root for the answer:

b = 4

Thus, the answer is option A.

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Answer:

option 1 is the answer

Step-by-step explanation:

IN A CIRCLE , THE TANGENT IS THE PERPENDICULAR TO THE RADIUS DRAWN TO THE POINT OF CONTACT

SO AC ⊥ BC

ie angle ACB= 90 degree

therefore in triangle ABC , ACB = 90 DEGREE

By applying pythagorus theorem ,

AB^2 = AC^2 + BC^2

5^2 = r^2 + 3^2

25 -9 = r^2

16 = r^2

r = square root o f 16

therefore r= 4

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